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Definition: The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as centimeters 3, meters 3, inches 3, feet 3, etc. A cube is a solid three-dimensional figure, which has 6 square faces or sides. The volume of a cube will be the total space occupied by it.
Here, we are going to discuss the cube formula to find the volume when the length of the edge/side is given with more solved examples. Cube Formula to Find Volume. The Volume of a Cube Formula is, The volume of a Cube, V = a 3 Cubic units. Where, “a” is the side length of the cube. Solved Examples using the Volume of Cube Formula. Question 1:
Cube Examples. Example 1: If the value of the side of the cube is 10 cm, then find its surface area and volume. Solution: Given, side, a = 10 cm. Therefore, by the surface area and volume formula of the cube, we can write; Surface Area = 6a 2 = 6 × 10 2 = 6 × 100. = 600 cm2. Volume = a 3 = 10 3 = 1000 cm3. Example 2:
Cube and Cuboid. Cube and cuboid are three-dimensional shapes that consist of six faces, eight vertices and twelve edges. The primary difference between them is a cube has all its sides equal whereas the length, width and height of a cuboid are different. Both shapes look almost the same but have different properties.
Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc.
The volume of three-dimensional mathematical shapes like cube, cuboid, cylinder, prism and cone etc. can be easily calculated by using arithmetic formulas. Whereas, to find the volumes of complicated shapes, one can use integral calculus. For example, the volume of the cylinder can be measured using the formula πr 2 h, where r = d⁄2.
10. The ratio of edges of two cubes is 3 : 5. If the volume of the first cube is 729 cm3, find the volume of the second cube. Solution: Given, Ratio of edges of two cubes = 3 : 5. Let 3x and 5x be the edges of cubes. We know that the volume of a cube with edge “a” = a 3. Volume of the first cube = (3x) 3.
The volume of a cube is equal to the amount of space enclosed within its 6 square shaped faces. The volume of a cube is equal to the product of the area of its square base and its height. As we know, all the edges of the cube are of the same length. Hence, Volume of the cube = l\(^2\) × h Since, l = h Therefore, Volume of the cube = l\(^2\) × l
The volume of a cube will define the number of cubic units, that cube will occupy. A cube has a solid three-dimensional figure, which has 6 square faces or sides. Many objects like water tank, ludo dice etc are found in the shape of a cube. The formula for Volume of Cube: We can easily find the volume of the cube by knowing the length of its ...
Volume of a cuboid prism or rectangular prism, V= length × breadth × height (cubic units) Volume of a Cube. Volume of cube: Cuboid in which length of each edge is equal is known as a cube. Thus, Volume of a cube of side ‘a’ = a 3
